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Finding the Fourth Proportional to 414.59, 571.73 and 267.30

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Solution

The fourth proportional to 414.59, 571.73 and 267.30 is: 368.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.59 : 571.73 = 267.30 : x
  2. Step 2: Convert to fraction form
    414.59/571.73 = 267.30/x
  3. Step 3: Cross multiply
    414.59x = 571.73 × 267.30
  4. Step 4: Simplify right side
    414.59x = 152,822.09
  5. Step 5: Solve for x
    x = 152,822.09/414.59
  6. Step 6: Final answer
    x = 368.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.